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Finding the Fourth Proportional to 1,301.40, 1,792.98 and 1,005.66

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Solution

The fourth proportional to 1,301.40, 1,792.98 and 1,005.66 is: 1,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.40 : 1,792.98 = 1,005.66 : x
  2. Step 2: Convert to fraction form
    1,301.40/1,792.98 = 1,005.66/x
  3. Step 3: Cross multiply
    1,301.40x = 1,792.98 × 1,005.66
  4. Step 4: Simplify right side
    1,301.40x = 1,803,128.27
  5. Step 5: Solve for x
    x = 1,803,128.27/1,301.40
  6. Step 6: Final answer
    x = 1,385.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.